44,240 research outputs found
On Representations of Conformal Field Theories and the Construction of Orbifolds
We consider representations of meromorphic bosonic chiral conformal field
theories, and demonstrate that such a representation is completely specified by
a state within the theory. The necessary and sufficient conditions upon this
state are derived, and, because of their form, we show that we may extend the
representation to a representation of a suitable larger conformal field theory.
In particular, we apply this procedure to the lattice (FKS) conformal field
theories, and deduce that Dong's proof of the uniqueness of the twisted
representation for the reflection-twisted projection of the Leech lattice
conformal field theory generalises to an arbitrary even (self-dual) lattice. As
a consequence, we see that the reflection-twisted lattice theories of Dolan et
al are truly self-dual, extending the analogies with the theories of lattices
and codes which were being pursued. Some comments are also made on the general
concept of the definition of an orbifold of a conformal field theory in
relation to this point of view.Comment: 11 pages, LaTeX. Updated references and added preprint n
Multipole polarizability of a graded spherical particle
We have studied the multipole polarizability of a graded spherical particle
in a nonuniform electric field, in which the conductivity can vary radially
inside the particle. The main objective of this work is to access the effects
of multipole interactions at small interparticle separations, which can be
important in non-dilute suspensions of functionally graded materials. The
nonuniform electric field arises either from that applied on the particle or
from the local field of all other particles. We developed a differential
effective multipole moment approximation (DEMMA) to compute the multipole
moment of a graded spherical particle in a nonuniform external field. Moreover,
we compare the DEMMA results with the exact results of the power-law graded
profile and the agreement is excellent. The extension to anisotropic DEMMA will
be studied in an Appendix.Comment: LaTeX format, 2 eps figures, submitted for publication
Anisotropic Magneto-conductance of InAs Nanowire: Angle Dependent Suppression of 1D Weak Localization
The magneto-conductance of an InAs nanowire is investigated with respect to
the relative orientation between external magnetic field and the nanowire axis.
It is found that both the perpendicular and the parallel magnetic fields induce
a positive magneto-conductance. Yet the parallel magnetic field induced
longitudinal magneto-conductance has a smaller magnitude. This anisotropic
magneto-transport phenomenon is studied as a function of temperature, magnetic
field strength and at an arbitrary angle between the magnetic field and the
nanowire. We show that the observed effect is in quantitative agreement with
the suppression of one-dimensional (1D) weak localization
The 3-3-1 model with A_4 flavor symmetry
We argue that the A_4 symmetry as required by three flavors of fermions may
well-embed in the SU(3)_C X SU(3)_L X U(1)_X gauge model. The new neutral
fermion singlets as introduced in a canonical seesaw mechanism can be combined
with the standard model lepton doublets to perform SU(3)_L triplets. Various
leptoscalar multiplets such as singlets, doublets, and triplets as played in
the models of A_4 are unified in single SU(3)_L antisextets. As a result,
naturally light neutrinos with various kinds of mass hierarchies are obtained
as a combination of type I and type II seesaw contributions. The observed
neutrino mixing pattern in terms of the Harrison-Perkins-Scott proposal is
obtained by enforcing of the A_4 group. The quark masses and
Cabibbo-Kobayashi-Maskawa mixing matrix are also discussed. By virtue of very
heavy antisextets the nature of the vacuum alignments of scalar fields can be
given.Comment: Version published by PR
Optical study of phase transitions in single-crystalline RuP
RuP single crystals of MnP-type orthorhombic structure were synthesized by
the Sn flux method. Temperature-dependent x-ray diffraction measurements reveal
that the compound experiences two structural phase transitions, which are
further confirmed by enormous anomalies shown in temperature-dependent
resistivity and magnetic susceptibility. Particularly, the resistivity drops
monotonically upon temperature cooling below the second transition, indicating
that the material shows metallic behavior, in sharp contrast with the
insulating ground state of polycrystalline samples. Optical conductivity
measurements were also performed in order to unravel the mechanism of these two
transitions. The measurement revealed a sudden reconstruction of band structure
over a broad energy scale and a significant removal of conducting carriers
below the first phase transition, while a charge-density-wave-like energy gap
opens below the second phase transition.Comment: 5 pages, 6 figure
Algebraic approach to the Hulthen potential
In this paper the energy eigenvalues and the corresponding eigenfunctions are
calculated for Hulthen potential. Then we obtain the ladder operators and show
that these operators satisfy SU(2) commutation relation.Comment: 8 Pages, 1 Tabl
Relationship between the gamma-ray burst pulse width and energy due to the Doppler effect of fireballs
We study in details how the pulse width of gamma-ray bursts is related with
energy under the assumption that the sources concerned are in the stage of
fireballs. Due to the Doppler effect of fireballs, there exists a power law
relationship between the two quantities within a limited range of frequency.
The power law range and the power law index depend strongly on the observed
peak energy as well as the rest frame radiation form, and the upper and
lower limits of the power law range can be determined by . It is found
that, within the same power law range, the ratio of the of the rising
portion to that of the decaying phase of the pulses is also related with energy
in the form of power laws. A platform-power-law-platform feature could be
observed in the two relationships. In the case of an obvious softening of the
rest frame spectrum, the two power law relationships also exist, but the
feature would evolve to a peaked one. Predictions on the relationships in the
energy range covering both the BATSE and Swift bands for a typical hard burst
and a typical soft one are made. A sample of FRED (fast rise and exponential
decay) pulse bursts shows that 27 out of the 28 sources belong to either the
platform-power-law-platform feature class or the peaked feature group,
suggesting that the effect concerned is indeed important for most of the
sources of the sample. Among these bursts, many might undergo an obvious
softening evolution of the rest frame spectrum.Comment: Accepted for publication in The Astrophysical Journa
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